Lowell has a credit card that uses the adjusted balance method. For the first10 days of one of his 30-day billing cycles, his balance was $1360. He then
made a purchase for $470, so his balance jumped to $1830, and it remained
that amount for the next 10 days. Lowell then made a payment of $740, so
his balance for the last 10 days of the billing cycle was $1090. If his credit
card's APR is 28%, which of these expressions could be used to calculate the
amount Lowell was charged in interest for the billing cycle?

The co-ordinate points of B is (3,1)

What is midpoint in a line ?

A midpoint in a given line segment divides the line segment in two equal parts.

In the given question

AB is a line segment.

Point A has co-ordinates (-1,5) and midpoint M has co-ordinates (1,3).

Assuming point B has co-ordinates (x,y)

We know midpoint formula is give by

M of x  = (x₁ + x₂)/2 and M of y = (y₁ + y₂)/2

∴ 1 = (-1 + x₂)/2

 2 = - 1 +x₂

 x₂ = 3

And

3 = ( 5 + y₂)/2

6 = 5 + y₂

y₂ = 1

So the co-ordinate points of B(x₂,y₂) = (3,1)

Learn more about midpoints here :

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Answer:

(3,1)

Step-by-step explanation:

let B be (x,y)

m(1,3)=midpoint

A(-1,5)=(x1,y1)

B(x,y)=(x2,y2)

(1,3)= x1+x2/2          y1+y2/2

(1,3)= -1+x/2           5+y/2

so,

-1+x/2=1              5+y/2=3

-1+x=2                 5+y=6

x=3                      y=1

therefore the co ordinates of B(x,y) are (3,1)

Answer:

Original retail price: $35

Step-by-step explanation:

20% off means that the discounted price is equivalent to 80% (100% - 20%) of the retail price.  

Calling x the retail price of the scuba mask and snorkel set, then a discounted price of $28 means that this amount of money is 80% of x. Mathematically:

80*x/100 = $28

x = $28*100/80

x = $35

Answer:

tan theta = -4/3.

Step-by-step explanation:

The inequality means that theta is in the 4th quadrant ( between 270 and 360 degrees.

The angle whose sine is 4/5  is 53.13 degrees.

So the angle whose sine is -4/5 is 306.87 degrees.

The tangent is negative and  the triangle formed by the angle in the 4th quadrant has sides   3, - 4 and 5  ( by the Pythagoras theorem).

So tan theta =  opposite / adjacent = -4/3  (answer).

Answer:

Step-by-step explanation:

This is an arithmetic sequence when each term is 19 higher than the previous. You can use the formula 19(n-1)+10 when n is the desired term you wish to find. So options A and C are wrong because when plugged into the formula we get another solution. D is wrong because it provides us with an incorrect formula for both the recursive and explicit versions.

The correct answer is B, when the 15th term is 276.

Characteristics of a scientific measuring tool consist of:

Measure Ability

Usability

Validity

Reliability

Practicability

Essentially the measuring tool needs to be accurate.

Looking at the options, the answer that fulfills these requirements is Option A.

Best of Luck!

Answer:

I want to say your answer is option B.